Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\)
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Publication:1698315
DOI10.1007/s10114-016-6019-9zbMath1383.58007arXiv1510.08648OpenAlexW2963937064MaRDI QIDQ1698315
Hui Liu, Wei Wang, Hua Gui Duan, Long, Yiming
Publication date: 15 February 2018
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.08648
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Related Items (8)
Multiplicity of closed Reeb orbits on prequantization bundles ⋮ Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \(\mathbb R^{2n}\) ⋮ Lusternik-Schnirelmann theory and closed Reeb orbits ⋮ Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond ⋮ Index iteration theories for periodic orbits: old and new ⋮ Dynamical convexity and closed orbits on symmetric spheres ⋮ Two closed orbits for non-degenerate Reeb flows ⋮ Multiplicity of closed Reeb orbits on dynamically convex \(\mathbb{R}P^{2n-1} \) for \(n\geq2\)
Cites Work
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- The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\)
- Sign-changing blowing-up solutions for supercritical Bahri-Coron's problem
- Closed characteristics on compact convex hypersurfaces in \(\mathbf{R}^{8}\)
- Closed Reeb orbits on the sphere and symplectically degenerate maxima
- On the minimal number of periodic orbits on some hypersurfaces in \(\mathbb{R}^{2n}\)
- The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds
- Multiplicity of periodic orbits for dynamically convex contact forms
- Stability of closed characteristics on compact convex hypersurfaces in \(\mathbb R^{6}\)
- Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries
- Multiplicité des trajectoires fermées de systèmes hamiltoniens connexes. (Multiplicity of closed trajectories of convex Hamiltonian systems)
- Convex Hamiltonian energy surfaces and their periodic trajectories
- Periodic orbits for convex hamiltonian systems
- The dynamics on three-dimensional strictly convex energy surfaces
- Hyperbolic closed characteristics on compact convex smooth hypersurfaces in \(\mathbb{R}^{2n}\)
- Bott formula of the Maslov-type index theory
- Finite energy foliations of tight three-spheres and Hamiltonian dynamics
- Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics
- Iteration inequalities of the Maslov-type index theory with applications
- Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\)
- Index theory for symplectic paths with applications
- Hyperbolic characteristics on star-shaped hypersurfaces
- Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces
- Closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb R^{2n}\)
- Resonance identities for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf R^{2n}\)
- Non-hyperbolic Closed Characteristics on Symmetric Compact Convex Hypersurfaces in R2n
- Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
- Morse theory and existence of periodic solutions of convex hamiltonian systems
- Equivariant Morse Theory for Starshaped Hamiltonian Systems
- Periodic solutions of hamiltonian systems
- Iterated index and the mean Euler characteristic
- Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces
- From one Reeb orbit to two
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